Elliptic Baker–Akhiezer functions and an application to an integrable dynamical system
- 1 March 1994
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 35 (3) , 1192-1201
- https://doi.org/10.1063/1.530635
Abstract
An ansatz for elliptic Baker–Akhiezer functions is used to find new solutions for various spectral problems—the Sturm–Liouville problem with four and five-gap Lamé potentials and two third-order problems. One of the third-order problems is the classical Halphen equation with a spectral parameter. The eigenfunctions are used to construct elliptic solutions for integrable cases of a generalized Hènon–Heiles system.Keywords
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